Answer:
$18.15
Step-by-step explanation:
We have been given that in Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at \$220$220 before tax.
To find total sales tax paid by Yuki for her handbag purchase we will find 4.6% of $220 and 3.65% of $220 and add amount of both taxes.
[tex]\text{Total sales tax amount}=\text{State sales tax amount+ County sales tax amount}[/tex]
[tex]\text{States sales tax amount for handbag}=\frac{4.6}{100}*220[/tex]
[tex]\text{States sales tax amount for handbag}=0.046*220[/tex]
[tex]\text{States sales tax amount for handbag}=10.12[/tex]
Now let us find county sales tax for handbag purchase.
[tex]\text{County sales tax amount for handbag}=\frac{3.65}{100}*220[/tex]
[tex]\text{County sales tax amount for handbag}=0.0365*220[/tex]
[tex]\text{County sales tax amount for handbag}=8.03[/tex]
Now let us add both amount to get total tax paid by Yuki.
[tex]\text{Total sales tax}=10.12+8.03[/tex]
[tex]\text{Total sales tax}=18.15[/tex]
Therefore, Yuki paid $18.15 sales tax for her handbag purchase.
Graph y=3x^2-12x+13. What is the minimum value of the function?
Answer:
(2,1)
Step-by-step explanation:
You are only asking that the graph be drawn and that the minimum be stated. You are not asking how the minimum was obtained (by completing the square).
The graph (using Desmos) shows that the min is at (2,1)
Graphing is a mighty powerful tool, wouldn't you say? It tells you the answer before you have to do one bit of algebra.
An organization of berry farmers releases a study reporting that people who eat blueberries every day have a lower cholesterol level. Which statement describes the best conclusion to draw from the study?
Answer:
There may be a correlation between eating blueberries and a lower cholesterol level.
Step-by-step explanation:
cause correlation does not cause causation.
Dora cut a piece of string that is 33 centimeters long.What is the length of the piece of the string in meters
Answer:
0.33
Step-by-step explanation:
A recipe calls for 1 1/2 cups of sugar. Marley only has 1/4 cup to measure. How many times will Marley ave to fill up measuring cup?
A freight train left Miami and traveled toward the fueling station at an average speed of 60 mph. A passenger train left three hours later and traveled in the same direction but with an average speed of 72 mph. find the number of hours the freight train traveled before the passenger train caught up.
a. 12
b. 15
c. 18
d. 21
Answer:
The correct option is b. 15
Explanation:
We are given that a freight train travels at an average speed of 60 mph.
Also we are given that the average speed of passenger train is 72 mph.
We are also given that the freight train leaves 3 hours before passenger train. So the number of miles covered by freight train in 3 hours is:
[tex]3 \times 60 = 180[/tex] miles.
Let X be the number of hours it takes the passenger train to catch up the freight train.
Therefore, we have:
[tex]180 + 60 \times X = 72 \times X[/tex]
[tex]72X-60X = 180[/tex]
[tex]12X=180[/tex]
[tex]X=\frac{180}{12}[/tex]
[tex]X=15[/tex]
Therefore, the passenger train will take 15 hours to catch up the freight train.
Answer:
sorry im answering late but the answer is C. 18
Step-by-step explanation:
60 x 18 = 1,080
72 started 3 hours later so that means you subtract 3 from 18 which equals 15 and 72 x 15 = 1,080
ur answer is 18
Consider these four data sets. Set A: {32, 12, 24, 46, 18, 22, 14} Set B: {4, 12, 11, 14, 11, 5, 12, 13, 18, 14} Set C: {5, 4, 9, 12, 14, 26, 22, 18} Set D: {1, 1, 1, 2, 2, 3, 3, 4, 5, 6} The sets that show a positive skew are sets . The sets that show a negative skew are sets
Answer:
Step-by-step explanation:
Set A: {32, 12, 24, 46, 18, 22, 14}
Mean =24 : Median =22:
Mean>Median hence positive skewed
Set B: {4, 12, 11, 14, 11, 5, 12, 13, 18, 14}
Mean =11.4 and median = 12
Mean <Median, hence negative skewed
Set C: {5, 4, 9, 12, 14, 26, 22, 18}
Mean=13.75 and median = 13
Mean >Median hence positive skewed
Set D: {1, 1, 1, 2, 2, 3, 3, 4, 5, 6}
Mean =2.8 Median = 2.5
Mean>Median Hence positive skewed
It costs Guido $0.20 to send a text message from his cell phone. He has already spent $4 in text messages this month. If he has a total of $10 that he can spend this month on text messages, write and solve an inequality that will give the greatest number of text messages that he can send. Interpret the solution.
The greatest number he can spend on is $5 since he has $10 he will have $5 reamining.
Which of the vectors in the graph below is the negative of the vector v?
Option: C is the correct answer.
C. Vector d
Step-by-step explanation:Vector--
We know that the vector is used to represent a quantity which have both magnitude as well as direction.
The vector is represented in a diagram with the help of a line segment with an arrow.
We know that the negative of a vector reverses the direction of the original vector i.e. it directs to the opposite direction of the original vector.
i.e. both have the same starting point but the direction changes.
Here by looking at the figure we observe that the negative of the vector v is the vector d.
Inverse function for f (x) = square root 2x-6
Answer:
(x^2 +6)/2
or 1/2 x^2 +3
Step-by-step explanation:
f(x)= sqrt(2x-6)
y =sqrt(2x-6)
To find the inverse function, we interchange the x and y and solve for y
x = sqrt(2y-6)
Square each side
x^2 = sqrt(2y-6)^2
x^2 = 2y-6
Add 6 to each to each side
x^2 +6 = 2y-6+6
x^2 +6 = 2y
Divide each side by 2
(x^2 +6)/2 = 2y/2
(x^2 +6)/2 = y
The inverse function is
(x^2 +6)/2
or 1/2 x^2 +3
Two functions f(x) and g(x) are inverses if:
f(g(x)) = x = g(f(x))
The solution is:
[tex]g(x) = \frac{1}{2} x^{2} + 3[/tex]
Now we want to find the inverse function to:
[tex]f(x) = \sqrt{2x - 6}[/tex]
Because this is a square root function, we know that the inverse must be a quadratic function, so let's try with something like:
[tex]g(x) = a*x^2 + c[/tex]
Now we can use the first property to get:
[tex]g(f(x)) = a*f(x)^2 + c = x\\\\ = a*\sqrt{2x - 6}^2 + c = x\\\\= a*(2x - 6) + c = x\\\\2*a*x -6*a + c = x[/tex]
Then we must have:
2*a =1
a = 1/2
And:
-6*a + c = 0
-6*(1/2) + c = 0
-3 + c = 0
c = 4
Then the inverse function is:
[tex]g(x) = \frac{1}{2} x^{2} + 3[/tex]
If you want to learn more, you can read:
https://brainly.com/question/10300045
Jason is selling video games. To earn his monthly bonus, he must sell a minimum of 5 games. He has 30 he can sell. The video games cost $20 each. The function f(x) = 20x can be used to represent this situation. What is the practical range of the function?
All whole numbers from 5 to 30, inclusive.
All whole numbers from 100 to 600, inclusive.
All real numbers.
All multiples of 20 between 100 and 600, inclusive.
Answer:
Correct choice is B
Step-by-step explanation:
The function [tex]f(x)=20x[/tex] represents the situation, where x is the number of sold video games and f(x) is the total cost of sold games.
Jason must sell a minimum of 5 games, this means that [tex]x\ge 5.[/tex] He has 30 video games he can sell, then [tex]x\le 30.[/tex] Thus, the domain of the function is [tex]5\le x\le 30.[/tex]
The range of the function f(x) is
[tex]20\cdot 5\le f(x)\le 20\cdot 30,\\ \\100\le f(x)\le 600.[/tex]
Solve for xx. Write the smaller solution first, and the larger solution second. X^2 + 12x + 27 = 0x 2 +12x+27=0
Answer:
x = -9, -3
Step-by-step explanation:
x^2 + 12x + 27 = 0
We need 2 numbers whose product is + 27 and whose sum is + 12. These are 3 and 9. So the factors are:-
(x + 3)(x + 9) and this = 0
So (x + 3) = 0 or x + 9 = 0
x = -3 , -9
Answer:
-5 and 7
Step-by-step explanation:
we need to find numbers a and b such that a+b=-2 and ab=-35.
a=5 and b=-7 satisfy both conditions, so our equation can be re-written:
(x + 5)(x-7) = 0
According to the zero-product property, we know that
x+5=0 or x-7=0, which means
x=-5x or x=7
Please mark brainliest and thank! Thank you!
Simplify.
(2m^3n^2)5
[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{n\cdot m}\\------------------\\\left(2m^3n^2\right)^5=2^5(m^3)^5(n^2)^5=32m^{3\cdot5}n^{2\cdot5}=32m^{15}n^{10}[/tex]
Help??????????????????
Can someone help with these? 15 PTS
Answer: D/3f^2 = e
Step-by-step explanation:
D = 3ef^2
Divide by 3f^2 on both sides.
D/3f^2=e, the first option.
Joe has 12 cups of soup in a pot. If he puts 1/4 cup of soup into each bowl, how many bowls will be used?
Answer:
48
Step-by-step explanation:
you need 4 one-fourth cups to make one cup. multiply 12 by 4 and you get 48
By dividing the total amount of soup (12 cups) by the amount of soup per bowl (1/4 cup), we find that Joe can fill 48 bowls.
The student poses a question related to division and unit conversion. To address the student's question, we should calculate how many bowls Joe can fill by dividing the total amount of soup by the amount used for each bowl. Joe has 12 cups of soup and uses 1/4 cup of soup for each bowl. The calculation would be:
Number of bowls = Total cups of soup / Cups of soup per bowl
Number of bowls = 12 cups / 1/4 cup per bowl
Number of bowls = 12 / 0.25
Number of bowls = 48
Therefore, Joe will use 48 bowls to serve the 12 cups of soup, with 1/4 cup of soup in each bowl.
The length of a rectangle is six times its width. If the area of the rectangle is 486 in 2 , find its perimeter.
w - width
6w - length
486 in² - area of the rectangle
(w)(6w) = 6w² - area of the rectangle
The equation:
6w² = 486 divide both sides by 6
w² = 81 → w = √81
w = 9 in
l = 6w → l = (6)(9) → l = 54 in
The perimeter: P = 2l + 2w
P = 2(54) + 2(9) = 108 + 18 = 126 in
Answer: The perimeter is 126inFinal answer:
The rectangle with an area of 486 square inches has a width of 9 inches and a length of 54 inches, leading to a perimeter of 126 inches.
Explanation:
To find the perimeter of a rectangle when given the area and the relationship between length and width, first, set up an equation where length (L) is equal to six times the width (W), so L = 6W. The area of a rectangle is found by multiplying the length by width, so we have the equation Area = L × W. With the given area of 486 square inches, we can substitute L with 6W to get 486 = 6W × W.
Solving this equation, W2 = 486/6 leads to W2 = 81. Taking the square root, we find that W = 9 inches. Since the length is six times the width, L = 6 × 9 = 54 inches.
The perimeter (P) of a rectangle is the sum of twice the length plus twice the width, so the equation P = 2L + 2W can be used. Substituting the values we found, P = 2(54) + 2(9) leads to P = 108 + 18, so the perimeter equals 126 inches.
Find the midpoint M of the line segment joining the points S = (−8, −1) and
T = (−4, −7)
Answer:
The midpoint is (-6,-4)
Step-by-step explanation:
The formula for the midpoint is
midpoint = (x1+x2)/2, (y1+y2)/2
Substituting what we know
= (-8+-4)/2, (-1+-7)/2
= -12/2, -8/2
= -6, -4
Final answer:
The midpoint M of the line segment joining points S = (-8, -1) and T = (-4, -7) is calculated using the midpoint formula and is found to be M = (-6, -4).
Explanation:
The midpoint M of the line segment joining the points S and T can be found using the midpoint formula. To find the midpoint M between the points S = (-8, -1) and T = (-4, -7), you need to take the average of the x-coordinates and the y-coordinates separately.
The midpoint M's x-coordinate is the average of the x-coordinates of S and T: ((-8 + (-4)) / 2 = -6. Similarly, the midpoint M's y-coordinate is the average of the y-coordinates of S and T: ((-1 + (-7)) / 2 = -4.
Therefore, the midpoint M is located at (-6, -4).
Find the exponential function that satisfies the given conditions: Initial value = 33, increasing at a rate of 7% per year (2 points)
Answer:
[tex]f(x)=33*(1.07)^x[/tex]
Step-by-step explanation:
Let f(x) be our exponential growth function representing growth after x years.
We are asked to find the exponential function that satisfies the given conditions: Initial value = 33, increasing at a rate of 7% per year.
Since an exponential growth function is in form: [tex]y=a*(1+r)^x[/tex], where a= initial value of function and r = growth rate in decimal form.
Given:
a=33
r=7%.
Let us convert our given rate in decimal form.
[tex]7\text{ percent}=\frac{7}{100}=0.07[/tex]
Now let us substitute our given values in exponential function form:
[tex]f(x)=33*(1+0.07)^x[/tex]
[tex]f(x)=33*(1.07)^x[/tex]
Therefore, the exponential function that satisfies our given conditions will be [tex]f(x)=33*(1.07)^x[/tex].
I need help right away please.
What is the constant of proportionality for the relationship shown in this table?
x 1 2 3 4
y 4 8 12 16
1/4
4
8
16
Answer:
The Constant of Proportionality is 4.
Step-by-step explanation:
This is because in the table provided,
4x = y for every situation1 * 4 = 42 * 4 = 83 * 4 = 12and so on...You can find this by dividing y by x.The correct answer to the question is 4.
I did the quiz and got an A on it.
Hope it helps, I'm on K12 OHVA aswell.
The length of a rectangle is twice it’s width. The perimeter is 102 inches. Write an equation and find the length and width
Answers:
Equation is 2*(2*W+W) = 102
Width is 17
Length is 34
=============================
Explanation:
L = 2*W because the length is twice the width
2*(L+W) = P is the perimeter formula
Replace P with the given perimeter (102). Also replace L with 2*W. Then isolate W
2*(L+W) = P
2*(2*W+W) = 102
2*(3W) = 102
6W = 102
6W/6 = 102/6
W = 17
If the width is W = 17, then the length is
L = 2*W = 2*17 = 34
So the width and length of this rectangle is 17 by 34
---------
Check:
P = 2*(L+W)
P = 2*(34+17)
P = 2*51
P = 102
Answer is confirmed
To find the length and width of a rectangle with given perimeter and lengths as twice of the width, first plug the length into the perimeter formula. Solve the resulting equation for width. Substitute this width into the length formula to get the length.
Explanation:In this problem, we have a rectangle where the length (L) = 2 * width (W). Also, the perimeter of the rectangle (P) = 2L + 2W. The given perimeter is 102 inches.
Since L = 2W, substituting this equation into the formula for perimeter, we get P = (2*2W) + 2W = 102.
This simplifies to 6W = 102, and therefore W = 102 / 6 = 17 inches. Substituting the width back into the equation L = 2W, we find that the length (L) is 2 * 17 = 34 inches.
So, the width is 17 inches and the length is 34 inches.
Learn more about Solving Rectangle Dimensions here:https://brainly.com/question/15262941
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What does the fundamental theorem of algebra state about the equation 2x^2−4x+16=0 ?
Answer:
option B
Step-by-step explanation:
[tex]2x^2-4x+16=0[/tex]
We need to solve this equation using quadratic formula
[tex]x= \frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
a=2, b= -4, c=16
Plug in the values in the formula
[tex]x= \frac{-(-4)+-\sqrt{(-4)^2-4(2)(16}}{2(2)}[/tex]
[tex]x= \frac{4+-\sqrt{16-128}}{4}[/tex]
[tex]x= \frac{4+-\sqrt{-112}}{4}[/tex]
Simplify the square root. the value of square root (-1) = 'i'
[tex]x= \frac{4+-4i\sqrt{7}}{4}[/tex]
Now we divide by 4
[tex]x= 1+-i\sqrt{7}[/tex]
So there are two complex roots. since the degree of polynomial is 2
Answer:
B
Step-by-step explanation:
I took the test :)
1. Is down below and is the first photo.
2. The graph shows f(x) and its transformation g(x).
Enter the equation for g(x) in the box.
g(x)=
3. What ia the domain and range of the relation shown in the table?
X -12, -8, 0, 1
Y 0, 12, 0, 8
Answer:
1. [tex]a_{n}=\frac{1}{3} a_{n-1}[/tex] where [tex]a_{1} =27[/tex]
2. [tex]2^{x+1}[/tex]
3. The domain is {-12,-8,0,1}. The range is {0,12,8}.
Step-by-step explanation:
1. The recursive formula is defined as an implicit way of writing the rule of a function or pattern. It is implicit because it uses previous terms to find the next term in the pattern. We multiply, add, subtract or divide a previous term by a constant value or expression to find the next. In this case, 27 becomes 9 through division by 3 or multiplication by 1/3. The pattern continues 9(1/3)=3 and so forth.
2. The function f(x) is an exponential and has a general form of [tex]y=ab^x[/tex]. We know f(x) is [tex]2^x[/tex]. The points of g(x) all changed from f(x) by shifting over to the left. This transformation occurred by [tex]2^{x+1}[/tex].
3. Domain is defined as the set of all x-values. Range is defined as the set of all y-values. The domain is {-12,-8,0,1}. The range is {0,12,8}.
Please help, i need to turn this in. Thank you in advance :)
(Full explination would be helpful but anything will do)
Answer:
12x
Step-by-step explanation:
number 1 is 12x bcuz two x plues ten equals 12x although i did it another way i still got it right just letting you no im working on the second one
The outside angle is equal to the sum of the two opposite inside angles.
So you have:
X + 82 = 2X+10
Subtract 1 X from each side:
82 = X+10
Subtract 10 from each side:
x = 72
Now you can calculate the exterior angle by replacing x with 72:
2x+10 = 2(72) +10 = 144+10 = 154
Congruency statements
ΔABC≅ΔDEF
List all pairings of congruent angles & sides for the above congruence statement.
ΔABC ≅ ΔDEF
I find it easier to see the congruencies if I write them underneath each other:
ABCDEF∠A ≅ ∠D [tex]\overline{AB}[/tex] ≅ [tex]\overline{DE}[/tex]
∠B ≅ ∠E [tex]\overline{BC}[/tex] ≅ [tex]\overline{EF}[/tex]
∠C ≅ ∠F [tex]\overline{AC}[/tex] ≅ [tex]\overline{DF}[/tex]
Ther are 330 walnuts in 6 bags if each bag has the same number of walnuts how many walnuts are in 2 bags
Answer:
110 Walnuts
Step-by-step explanation:
Firstly, there are 6 bags and 330 walnuts. You divide 330 by 6 and you get 55. 330/6. Now, you multiply 55 by 2 and you get your answer. So basically in each bag there are 55 walnuts and if you multiply that by 6 you get 330 again. Hope this helped!
Answer:
110 walnuts
Step-by-step explanation:
330÷6 is 55
55•2 is 110
What is the expected number of pets for a student in his class?
Answer:
A) about 1 pet
Step-by-step explanation:
Total the products of number of pets and their probability.
... 0×0.4 +1×0.3 +2×0.25 +3×0.05
... = 0 +0.3 +0.5 +0.15 = 0.95 . . . . . about 1
___
We assume that "3 or more" will be closer to 3 than to 15, a number that would raise the expected value to more than 1.5.
Tim is opening up a bookstore, where he sells both new old books. He charges 11.50 for a new book , and $4.50 for an old book. What was Tim's revenue last month if he sold 15 books and 12 old books
Answer:
226.50
Step-by-step explanation:
11.50*15=172.5(0)+4.50*12=54.0226.50
Answer:
It’s $226.50
Step-by-step explanation:
Nell's mom makes chocolate milk with 30mL of chocolate syrup for every 2 ounces of milk. Nell's dad adds 65 mL of chocolate syrup for every 5 ounces of milk. Whose chocolate milk is more chocolatey?
Answer:
The more 'chocolatey' chocolate milk is the one prepared by Nell's mom.
Step-by-step explanation:
This problem can be solved by establishing the ratio of chocolate syrup for one ounce of milk in each beverage.
For mom's chocolate milk:
[tex]\frac{30mL}{2ounces} = 15\frac{mL}{ounce}[/tex]
For dad's chocolate milk:
[tex]\frac{65mL}{5ounces} = 13\frac{mL}{ounce}[/tex]
We know that:
15 > 13
So we can conclude that mom's chocolate milk is more 'chocolatey'.
Ms.Keller is grading semester projects.In the past two hours, she has graded five projects.At this rate, she will grade _ project in seven hours at a rate of _ project per hour. Fill in the blank
Final answer:
Ms. Keller will grade 17.5 projects in seven hours at her current rate of 2.5 projects per hour.
Explanation:
The student's question is about determining at what rate Ms. Keller is grading projects and how many projects she will grade in seven hours based on her current pace. Since Ms. Keller has graded five projects in two hours, her grading rate is 5 projects / 2 hours, which simplifies to 2.5 projects per hour. To find out how many projects Ms. Keller will grade in seven hours at this rate, we multiply 2.5 projects/hour by 7 hours, resulting in 17.5 projects.
Therefore, Ms. Keller will grade 17.5 projects in seven hours at a rate of 2.5 projects per hour.